40806144 has 108 divisors (see below), whose sum is σ = 119574000. Its totient is φ = 13381632.

The previous prime is 40806119. The next prime is 40806151. The reversal of 40806144 is 44160804.

40806144 is a `hidden beast` number, since 40 + 8 + 0 + 614 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204957 + ... + 205155.

Almost surely, 2^40806144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59787000).

40806144 is an abundant number, since it is smaller than the sum of its proper divisors (78767856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40806144 is a wasteful number, since it uses less digits than its factorization.

40806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40806144 is about 6387.9686912195. The cubic root of 40806144 is about 344.2774037861.

Adding to 40806144 its reverse (44160804), we get a palindrome (84966948).

The spelling of 40806144 in words is "forty million, eight hundred six thousand, one hundred forty-four".